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3 years ago

Find the slope of (-2,1),(2,-2)

Mathematics

2 answers:

nirvana33 [79]3 years ago

8 0

Answer:

$\boxed {m = -\frac{3}{4}}$

Step-by-step explanation:

Use the <u>Slope Formula</u> to help you determine the slope of the two following points:

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

(where $(x_{1}, y_{1})$ is the first point and $(x_{2}, y_{2})$ is the second point)

-Apply both points to the formula:

$(x_{1}, y_{1}) = (-2, 1)$

$(x_{2}, y_{2}) = (2, -2)$

$m = \frac{-2 - 1}{2 + 2}$

-Solve:

$m = \frac{-2 - 1}{2 + 2}$

$m = \frac{-3}{4}$

$\boxed {m = -\frac{3}{4}}$

Therefore, the slope is $-\frac{3}{4}$ .

Volgvan3 years ago

3 0

Answer:

-3/4 is the slope.

Step-by-step explanation:

Use this formula to find slope.

y2-y1/x2-x1

PLUG IN

-2 -1/2- (-2) = -3/4

The slope is -3/4

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3 years ago

Three points on the graph of the function f(x)f(x) are \{(0, 4), (1, 6), (2, 8)\}{(0,4),(1,6),(2,8)}. Which equation represents

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Step-by-step explanation:

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3 years ago

Each friend received 5/4 of a pound of berries, how many friends are sharing berries?

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Answer:

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3 years ago

You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly different from 0.36. With

Dafna11 [192]

Answer:

We need to conduct a hypothesis in order to test the claim that the true proportion is 0.36 so then we need to conduct a two tailed test, the system of hypothesis are.:

Null hypothesis: $p=0.36$

Alternative hypothesis: $p \neq 0.36$

Since is a bilateral test the p value would be:

$p_v =2*P(z>2.074)=0.0381$

Step-by-step explanation:

Data given and notation n

n represent the random sample taken

$\hat p$ estimated proportion of interest

$p_o=0.36$ is the value that we want to test

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion is 0.36 so then we need to conduct a two tailed test, the system of hypothesis are.:

Null hypothesis: $p=0.36$

Alternative hypothesis: $p \neq 0.36$

When we conduct a proportion test we need to use the z statisitc, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion is significantly different from a hypothesized value .

Calculate the statistic

For this case the statistic is given:

$z = 2.074$

Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The next step would be calculate the p value for this test.

Since is a bilateral test the p value would be:

$p_v =2*P(z>2.074)=0.0381$

5 0

3 years ago

You are planning a survey of starting salaries for recent business major graduates from your college. From a pilot study you est

xxTIMURxx [149]

Answer:

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Step-by-step explanation:

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-the minimum sample size at a 95% confidence level can be calculated using the formula:

$n\geq( \frac{z\sigma}{MOE})^2\\\\\\\geq (\frac{1.96\times 9000}{500})^2\\\\\\\geq 1244.6784\approx 1245$

Hence, the minimum sample size is 1245

*Since there's no data fromw which we are drawing our variables, we can manually input our parameters in excel and calculate as attached.

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3 years ago